Abramowitz M., Stegun I., eds. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. New York City: Dover Publications; 1967.

Agarwal R.G., Al-Hussainy R., Ramey Jr. H.J. An investigation of wellbore storage and skin effect in unsteady liquid flow: I. analytical treatment. Soc. Pet. Eng. J. 1970;10(3):279–290. doi:10.2118/2466-PA.

Al-Ajmi N.M., Kazemi H., Ozkan E. Estimation of storativity ratio in a layered reservoir with crossflow. SPE Reserv. Eval. Eng. 2008;11(2):267–279. doi:10.2118/84294-MS.

Aly A., Chen H.Y., Lee W.J. Development of a mathematical model for multilayer reservoirs with unequal initial pressures. In Situ. 1996;20(1):61–92.

Ambastha A.K., Gomes E. Program calculates pseudoskin in a multilayer reservoir. Oil Gas J. 1995;24(12):121–123.

Aziz K., Settari A. Petroleum Reservoir Simulation. London: Chapman & Hall; 1979.

Barua J., Horne R.N., Greenstadt J.L., et al. Improved estimation algorithms for automated type-curve analysis of well tests. SPE Format. Eval. 1988;3(1):186–196. doi:10.2118/14255-PA.

Bennett C.O., Raghavan R., Reynolds A.C. Analysis of finite-conductivity fractures intercepting multilayer commingled reservoirs. SPE Format. Eval. 1986;1(3):259–274. doi:10.2118/11030-PA.

Bourdet D. Pressure behavior of layered reservoirs with crossflow. In: Paper SPE 13628 Presented at the SPE California Regional Meeting; Society of Petroleum Engineers; 1985:doi:10.2118/13628-MS.

Bremer R.E., Hubert W., Saul V. Analytical model for vertical interference tests across low-permeability zones. Soc. Petrol. Eng. J. 1985;25(3):407–418. doi:10.2118/11965-PA.

Brons F., Marting V.E. The effect of restricted fluid entry on well productivity. J. Petrol. Tech. 1961;13(2):172–174. doi:10.2118/1322-G-PA.

Burns Jr. W.A. New single-well test for determining vertical permeability. J. Petrol. Tech. 1969;21(6):743–752.

Chen T. Pressure drawdown in a layered reservoir with linear boundaries. In: Paper SPE 16767 Presented at the SPE Annual Technical Conference and Exhibition; Society of Petroleum Engineers; 1987:doi:10.2118/16767-MS.

Chen H.Y., Raghavan R., Poston S.W. Average reservoir pressure estimates in a commingled reservoir. SPE J. 1997;2(1):3–15. doi:10.2118/26460-PA.

Cheng M.C. A simple technique to determine the unknown constant in y or x for producing y vs. x as a straight line in reservoir engineering problems. J. Petrol. Tech. 1982;34(5):1140–1142. doi:10.2118/9748-PA.

Chu W.C., Raghavan R. The effect of noncommunicating layers on interference test data. J. Petrol. Tech. 1981;33(2):370–382. doi:10.2118/8390-PA.

Civan F., Villanueva Triana B. Rigorous simulation of production from commingled multilayer reservoirs under various crossflow and boundary conditions. In: Paper SPE 164501 Presented at the SPE Production and Operations Symposium; Society of Petroleum Engineers; 2013:doi:10.2118/164501-MS.

Clegg M.W. Some approximate solutions of radial flow problems associated with production at constant well pressure. Soc. Petrol. Eng. J. 1967;7(1):31–42. doi:10.2118/1536-PA.

Coats K.H., Dempsey J.R., Henderson J.H. A new technique for determining reservoir description from field performance data. Soc. Petrol. Eng. J. 1970;10(1):66–74. doi:10.2118/2344-PA.

Coats K.H., Dempsey J.R., Henderson J.H. The use of vertical equilibrium in two-dimensional simulation of three-dimensional reservoir performance. Soc. Petrol. Eng. J. 1971;11(1):63–71. doi:10.2118/2797-PA.

Cobb W.M., Ramey Jr. H.J., Miller F.G. Well-test analysis for wells producing commingled zones. J. Petrol. Tech. 1972;24(1):27–37. doi:10.2118/3014-PA.

Corbett P.W.M., Hamdi H., Gurav H. Layered reservoirs with internal crossflow: a well-connected family of well-test pressure transient responses. In: 73rd European Association of Geoscientists and Engineers Conference and Exhibition 2011: Unconventional Resources and the Role of Technology. Incorporating SPE EUROPEC 2011, vol. 3; Society of Petroleum Engineers; 2011:2142–2146.

Deans H.A., Majoros S. Single-well chemical tracer method for measuring residual oil saturation. Final report Houston, TX: Rice University; 1980.

Deruyck B.G., Bourdet D.P., DaPrat G., et al. Interpretation of interference tests in reservoirs with double porosity behavior—theory and field examples. In: Paper SPE 11025-MS was Presented at the 57th SPE Annual Technical Conference and Exhibition, September; New Orleans: Society of Petroleum Engineers; 1982:doi:10.2118/11025-MS.

Earlougher Jr. R.C. Advances in well test analysis. In: SPE Monograph Series. Dallas: SPE; . 1977;vol. 5.

Earlougher Jr. R.C. Analysis and design methods for vertical well testing. J. Petrol. Tech. 1980;32(3):505–514. doi:10.2118/8038-PA.

Earlougher Jr. R.C., Kersch K.M., Kunzman W.J. Some characteristics of pressure buildup behavior in bounded multiple-layered reservoirs without crossflow. J. Petrol. Tech. 1974;26(10):1178–1186. doi:10.2118/4499-PA.

Ehlig-Economides C.A. Testing and interpretation in layered reservoirs. J. Petrol. Tech. 1987;39(9):1087–1090. doi:10.2118/17089-PA.

Ehlig-Economides C.A., Ayoub J.A. Vertical interference testing across a low-permeability zone (includes associated papers 17138 and 17261). SPE Form. Eval. 1986;1(5):497–510. doi:10.2118/13251-PA.

Ehlig-Economides C.A., Joseph J. A new test for determination of individual layer properties in a multilayered reservoir. SPE Form. Eval. 1987;2(3):261–283. doi:10.2118/14167-PA.

Falade G.K., Brigham W.E. The analysis of single-well pulse tests in a finite-acting slab reservoir. In: SPE 5055-B Presented Fall Meeting of the Society of Petroleum Engineers of AIME; Society of Petroleum Engineers; 1974:doi:10.2118/5055-B.

Gao C.T. Crossflow behavior in a partially perforated two layer reservoir: the evaluation of reservoir parameters by transient well tests. In: Society of Petroleum Engineers of AIME, SPE 11875; 1983a.

Gao C.T. The crossflow behavior and the determination of reservoir parameters by drawdown tests in multilayer reservoirs. In: Society of Petroleum Engineers of AIME, SPE 12580; 1983b.

Gao C.T. The determination of total productivity by a constant pressure flow test and the crossflow behavior in multilayer reservoirs. In: Society of Petroleum Engineers of AIME, SPE 12581; 1983c.

Gao C.T. Single-phase fluid flow in a stratified porous medium with crossflow (includes associated paper 12946). Soc. Petrol. Eng. J. 1984;24(1):97–106. doi:10.2118/11439-PA.

Gao C.T. Determination of individual layer properties by layer-by-layer well tests in multilayer reservoirs with crossflow. In: Society of Petroleum Engineers of AIME, SPE 15321; 1985.

Gao C.T. Determination of parameters for individual layers in multilayer reservoirs by transient well tests. SPE Form. Eval. 1987;2(1):43–65. doi:10.2118/13952-PA.

Gao C.T. Interpretation theory for vertical interference testing across a low-permeability zone. In: Society of Petroleum Engineers of AIME, SPE 19444; 1989.

Gao C.T. Unsteady crossflow model for leaky vertical interference testing across a low-permeability zone. In: Society of Petroleum Engineers of AIME, SPE 21472; 1990.

Gao C.T., Deans H.A. Single-phase flow in a two-layer reservoir with significant crossflow-pressure drawdown and buildup behavior when both layers are completed at a single well. In: Society of Petroleum Engineers of AIME, SPE 11874; 1983.

Gao C.T., Deans H.A. Pressure transients and crossflow caused by diffusivities in multilayer reservoirs. SPE Form. Eval. 1988;3(2):438–448. doi:10.2118/11966-PA.

Guo P., Wang J., Liu Q., et al. Study on development mechanism of commingling production in low-permeability gas reservoirs. In: Paper SPE 130892 Presented at the International Oil and Gas Conference and Exhibition in China; Society of Petroleum Engineers; 2010:doi:10.2118/130892-MS.

Hagoort J., Hoogstra R. Numerical solution of the material balance equations of compartmented gas reservoirs. In: Paper SPE 38082 Presented at the SPE Asia Pacific Oil and Gas Conference and Exhibition; Society of Petroleum Engineers; 1997:doi:10.2118/38082-MS.

Hantush M.S. Advances in hydroscience. In: Hydraulics of Wells. New York: Academic Press; 1964:281–442.

Heam C.L. Simulation of stratified waterflooding by pseudo relative permeability curves. J. Petrol. Tech. 1971;23(7):805–813. doi:10.2118/2929-PA.

Hirasaki G.J. Pulse tests and other early transient pressure analyses for in-situ estimation of vertical permeability. Soc. Petrol. Eng. J. 1974;14(1):75–90. doi:10.2118/4055-PA.

Hower T.L., Collins R.E. Detecting compartmentalization in gas reservoirs through production performance. In: Paper SPE 19790-MS Presented at the SPE Annual Technical Conference and Exhibition; Society of Petroleum Engineers; 1989:doi:10.2118/19790-MS.

Jacks H.H., Smith O.J.E., Mattax C.C. The modeling of a three-dimensional reservoir with a two-dimensional reservoir simulator—the use of dynamic pseudo functions. Soc. Petrol. Eng. J. 1973;13(3):175–185. doi:10.2118/4071-PA.

Jackson R.R., Banerjee R. Advances in multilayer reservoir testing and analysis using numerical well testing and reservoir simulation. In: SPE-62917-MS was Presented at the SPE Annual Technical Conference and Exhibition, 1–4 October, Dallas, Texas; 2000:doi:10.2118/62917-MS.

Jacob C.E., Lohman S.W. Nonsteady flow to a well of constant drawdown in an extensive aquifer. EOS, Trans. Amer. Geophys. Union. 1952;33(4):559–569.

Kamal M.M. Effects of wellbore storage and skin on vertical-permeability testing. SPE Form. Eval. 1986;1(5):481–496. doi:10.2118/13250-PA.

Kamal M.M. Transient well testing. In: SPE Monograph Series. Dallas: SPE; . 2009;vol. 23.

Katz M.L., Tek M.R. A theoretical study of pressure distribution and fluid flux in bounded stratified porous systems with crossflow. Soc. Petrol. Eng. J. 1962;2(1):68–82. doi:10.2118/146-PA.

Kazemi H. Pressure buildup in reservoir limit testing of stratified systems. J. Petrol. Tech. 1970;22(4):503–511. doi:10.2118/2618-PA.

Kazemi H., Seth M.S. Effect of anisotropy and stratification on pressure transient analysis of wells with restricted flow entry. J. Petrol. Tech. 1969;21(5):639–647. doi:10.2118/2153-PA.

Kong X. Advanced Fluid Mechanics in Porous. Hefei: China University of Science and Technology Press; 1999.374–376.

Kuchuk F. Transient pressure behavior of commingled reservoirs. SPE Form. Eval. 1991;6(1):111–120. doi:10.2118/18125-PA.

Kuchuk F. Pressure Transient Formation and Well Testing-Convolution, Deconvolution and Nonlinear Estimation. London: Elsevier; 2010.

Kuchuk F., Ayestaran L. Analysis of simultaneously measured pressure and sandface flow rate in transient well testing (includes associated papers 13937 and 14693). J. Petrol. Tech. 1985;37(2):323–334. doi:10.2118/12177-PA.

Kuchuk F., Ayestaran L. Well test analysis of commingled zones without crossflow. SPE Form. Eval. 1986;342–354.

Kuchuk F., Habashy T. Pressure behavior of horizontal wells in multilayer reservoir. SPE Form. Eval. 1996;11(1):55–64. doi:10.2118/22731-PA.

Kuchuk F., Shah P.C., Ayestaran L., Nicholson B. Application of multilayer testing and analysis: a field case. In: Paper SPE15419 Presented at the SPE Annual Technical Conference and Exhibition; Society of Petroleum Engineers; 1986:doi:10.2118/15419-MS.

Larsen L. Wells producing commingled zones with unequal initial pressures and reservoir properties. In: Paper SPE10325 Presented at the SPE Annual Technical Conference and Exhibition; Society of Petroleum Engineers; 1981:doi:10.2118/10325-MS.

Larsen L. Determination of skin factors and flow capacities of individual layers in two-layered reservoirs. In: Paper SPE 11138 Presented at the SPE Annual Technical Conference and Exhibition; Society of Petroleum Engineers; 1982:doi:10.2118/11138-MS.

Larsen L. Experiences with combined analyses of PLT and pressure-transient data from layered reservoirs. In: Paper SPE 27973 Presented at University of Tulsa Centennial Petroleum Engineering Symposium, 29–31 August, Tulsa, Oklahoma; 1994:doi:10.2118/27973-MS.

Lee S.T., Chien M.C.H., Culham W.E. Vertical single-well pulse testing of a three-layer stratified reservoir. In: Paper SPE 13249 Presented at SPE Annual Technical Conference and Exhibition; Society of Petroleum Engineers; 1984:doi:10.2118/13249-MS.

Lefkovits H.C., Hazebroek P., Allen E.E., et al. A study of the behavior of bounded reservoirs composed of stratified layers. Soc. Petrol. Eng. J. 1961;1(1):43–58. doi:10.2118/1329-G.

Lin J.E. Pressure buildup or falloff test analysis for a well in commingled reservoirs with flow rate profile logging. In: Paper IPTC 18232-MS Presented at the International Petroleum Technology Conference; International Petroleum Technology; 2014:doi:10.2523/IPTC-18232-MS.

Liu Q., Wang H., Wang R., Li X. A computing method for layered production contribution and affecting factors analyzing in commingled gas reservoirs. J. Southwest Petrol. Univ. Sci. Technol. Ed. 2010;32(1):80–84.

Lolon E., Archer R.A., Ilk D., et al. New semi-analytical solutions for multilayer reservoirs. In: Paper SPE 114946 Presented at the CIPC/SPE Gas Technology Symposium 2008 Joint Conference; Society of Petroleum Engineers; 2008:doi:10.2118/114946-MS.

Lord M.E., Collins R.E., Kocberber S. A compartmented simulation system for gas reservoir evaluation with application to fluvial deposits in the Frio formation, South Texas. In: Paper SPE 24308 Presented at the SPE Mid-Continent Gas Symposium; Society of Petroleum Engineers; 1992:doi:10.2118/24308-MS.

Maksimov V.A. In: The Influence of Non-Homogeneities on the Determination of Reservoir Parameters Based on Data on Unsteady-State Fluid Influx into Wells: A Case of a Two-Layer Formation; Associated Technical Services; 1960.

Matthews C.S., Russell D.G. Pressure Buildup and Flow Tests in Wells. Dallas, TX: Society of Petroleum Engineers of AIME; 1967.

Meunier D.F., Wittmann M.J., Stewart G. Interpretation of pressure buildup test using in-situ measurement of afterflow. J. Petrol. Tech. 1985;37(1):143–152. doi:10.2118/11463-PA.

Meunier D.F., Kabir C.S., Wittmann M.J. Gas well test analysis: use of normalized pseudovariables. SPE Format. Eval. 1987;2(4):629–636. doi:10.2118/13082-PA.

Nisle R.G. The effect of partial penetration on pressure build-up in oil wells. Trans. AIME. 1958;213:85–90.

Olarewaju J.S., Lee W.J. Rate performance of a layered reservoir with unsteady-state interlayer crossflow. SPE Form. Eval. 1990;5(1):46–52. doi:10.2118/18544-PA.

Park H. Well Test Analysis of a Multilayered Reservoir with Formation Crossflow. California: Stanford University; 1989.

Payne D.A. Material-balance calculations in tight-gas reservoirs: the pitfalls of P/Z plots and a more accurate technique. SPE Reserv. Eng. 1996;11(4):260–267. doi:10.2118/36702-PA.

Pendergrass J.D., Berry Jr. V.J. Pressure transient performance of a multilayered reservoir with crossflow. Soc. Petrol. Eng. J. 1962;2(4):347–354. doi:10.2118/285-PA.

People's Republic of China Oil and Gas Industry Standard, 2000. SY/T 6098, Natural Gas Recoverable Reserves Calculation Method. The National Petroleum and Chemical Industry Bureau issued.

Pizzi G., Ciucci G.M., Chierici G.L. Quelques cas de remontées de pression dans des couches hétérogènes avec pénétration partielle étude par analyseur électrique. Revue Inst. Fr. Petrole (Dec.). 1965;20(12):1811–1846.

Prats M. A method for determining the net vertical permeability near a well from in-situ measurements. J. Petrol. Tech. 1970;22(5):637–643. doi:10.2118/2511-PA.

Prats M. Interpretation of pulse tests in reservoirs with crossflow between contiguous layers. SPE Form. Eval. 1986;1(5):511–520. doi:10.2118/11963-PA.

Prats M. Calculation of wellbore pressures and rate distribution in multilayered reservoirs. SPE J. 1999;4(4):307–314. doi:10.2118/57241-PA.

Prijambodo R., Raghavan R., Reynolds A.C. Well test analysis for wells producing layered reservoirs with crossflow. Soc. Petrol. Eng. J. 1985;25(3):380–396. doi:10.2118/10262-PA.

Raghavan R. Behavior of wells completed in multiple producing zones. SPE Form. Eval. 1989;4(2):219–230. doi:10.2118/14111-PA.

Raghavan R., Reynolds A.C. Response of wells producing layered reservoirs: unequal fracture length. SPE Form. Eval. 1987;2(1):9–28. doi:10.2118/12844-PA.

Raghavan R., Topaloglu H.N., Cobb W.M., et al. Well-test analysis for wells producing from two commingled zones of unequal thickness. J. Petrol. Tech. 1974;26(9):1035–1043. doi:10.2118/4559-PA.

Raghavan R., Prijambodo R., Reynolds A.C. Well test analysis for wells producing layered reservoirs with crossflow. SPE J. 1985;25(3):380–396. doi:10.2118/10262-PA.

Rapach J.M., Jefferies R., Guedroudj A.H., Westaway P.J. Practical transient multilayer test design, implementation, and analysis of gas wells in the North Sea Southern Basin. In: Paper SPE 20534 Presented at SPE Annual Technical Conference and Exhibition; Society of Petroleum Engineers; 1990:doi:10.2118/20534-MS.

Ross S.L. Differential Equations. second ed. New York City: John Wiley & Sons; 1974.

Russell D.G., Prats M. Performance of layered reservoirs with crossflow—single compressible fluid case. Soc. Petrol. Eng. J. 1962a;2(1):53–67. doi:10.2118/99-PA.

Russell D.G., Prats M. The practical aspects of interlayer crossflow. J. Petrol. Tech. 1962b;14(6):589–594. doi:10.2118/369-PA.

Seth M.S. Unsteady-state pressure distribution in a finite reservoir with partial well-bore opening. J. Can. Pet. Technol. 1968;7(4):153–163. doi:10.2118/68-04-02.

Shah P.C., Karakas M., Kuchuk F., et al. Estimation of the permeabilities and skin factors in layered reservoirs with downhole rate and pressure data. SPE Form. Eval. 1988;3(3):555–566. doi:10.2118/14131-PA.

Singh K., Whitson C.H. Gas-condensate pseudopressure in layered reservoirs. SPE Reserv. Eval. Eng. 2010;13(2):203–213. doi:10.2118/117930-MS.

Smith C., Tracy G.W., Lance Farrar R. Applied Reservoir Engineering, Volumes 1 & 2. Tulsa: OGCI; 1999.

Stehfest H. Algorithm 368: numerical inversion of Laplace transforms. Commun. ACM. 1970;13(1):47–49.

Streltsova T.D. Well hydraulics in vertically heterogeneous formations. J. Hydraul. Div. 1982;108(11):1311–1327.

Streltsova T.D. Buildup analysis for interference tests in stratified formations. J. Petrol. Tech. 1984;36(2):301–310. doi:10.2118/10265-PA.

Streltsova T.D. Well Testing in Heterogeneous Formations. New York: John Wiley & Sons; 1988.

Streltsova T.D., McKinley R.M. Effect of flow time duration on buildup pattern for reservoirs with heterogeneous properties. Soc. Petrol. Eng. J. 1984;24(3):294–306. doi:10.2118/11140-PA.

Streltsova T.D. Pressure drawdown in a well with limited flow entry. J. Petrol. Tech. 1979;31(11):1469–1476. doi:10.2118/7486-PA.

Streltsova T.D., McKinley R.M. Effect of partial completion on the duration of afterflow and beginning of the formation straight line on a Horner plot. J. Petrol. Tech. 1981;33(3):550–552. doi:10.2118/9026-PA.

Sun H.D. Exact solution of bottom hole pressure of max effective hole-diameter model for confined reservoirs with two pays. Nat. Gas Ind. 2003;23(4):71–73.

Sun H.D. A balance equation of gas materials with recharge capacity and their performance prediction. Acta Petrol. Sin. 2011a;32(4):683–686.

Sun H.D. A new method for low permeability gas well performance prediction using pressure transient analysis: theory and practices. In: Paper SPE 144952 Presented at the SPE Middle East Unconventional Gas Conference and Exhibition; Society of Petroleum Engineers; 2011b:doi:10.2118/144952-MS.

Sun H.D., Zhou F. Pressure transient analysis of two layers crossflow reservoir perforated partially with constant pressure outer boundary. Pet. Explor. Dev. 2003;30(6):92–94.

Sun H.D., Gao C., Qian H., et al. Gas flow in a stratified porous medium with crossflow. J. Therm. Sci. 2002a;11(1):35–40.

Sun H.D., Liu L., Qian H., et al. Accurate solution of two-layer reservoir with crossflow including wellbore storage and skin effect. J. Xian Jiaotong Univ. 2002b;36(11):1117–1120.

Sun, H.D., Liu, L., Lu, Y.W., et al., 2003a. Exact solution and typical curve for commingled reservoir. Paper SPE 81521 Presented at the SPE 13th Middle East Oil and Gas Show and Conference, Technology Solution for the Oil and Gas Business: New Middle East Focus, MEOS 2003. http://dx.doi.org/10.2118/81521-MS.

Sun H.D., Liu L., Gao C., et al. Exact solution and typical curve for infinite three layers reservoir with crossflow. Kuangwu Yanshi. 2003b;23(1):101–104.

Sun H.D., Liu L., Zhou F., et al. Exact solution of two layer reservoir with crossflow under constant pressure condition. In: Paper SPE 81043 Presented at the SPE Latin American and Caribbean Petroleum Engineering Conference; Society of Petroleum Engineers; 2003c:doi:10.2118/81043-MS.

Sun H.D., Wan Y.J., Zhong S.M. Discussion on dynamic reserves estimation of multilayer gas reservoir with material balance method. In: Paper SPE113665 Presented at the CIPC-SPE Gas Technology Symposium 2008 Joint Conference; Alberta, Canada: SPE; 2008:doi:10.2118/113665-MS.

Tariq S.M., Ramey Jr. H.J. Drawdown behavior of a well with storage and skin effect communicating with layers of different radii and other characteristics. In: Paper SPE 7453 Presented at the SPE Annual Fall Technical Conference and Exhibition; Society of Petroleum Engineers; 1978:doi:10.2118/7453-MS.

Tempelaar-Lietz W. Effect of oil production rate on performance of wells producing from more than one horizon. Soc. Petrol. Eng. J. 1961;1(1):26–31. doi:10.2118/1368-G.

Van Everdingen A.F., Hurst W. The application of the Laplace transformation to flow problems in reservoirs. J. Petrol. Tech. 1949;1(12):305–324. doi:10.2118/949305-G.

Wan Y., Sun H., Huang W., et al. Reserves producing level analysis of multilayer gas reservoir in the Sebei gas filed. Nat. Gas Ind. 2009;29(7):58–60.

Warren J.E. Prediction of waterflood behavior in a stratified system. Soc. Petrol. Eng. J. 1964;4(2):149–157. doi:10.2118/581-PA.

Wijesinghe A.M., Kececioglu I. Vertical-interference pressure testing across a low-permeability zone with unsteady crossflow. SPE Form. Eval. 1988;3(4):751–760. doi:10.2118/15583-PA.

Woods E.G. Pulse-test response of a two-zone reservoir. Soc. Petrol. Eng. J. 1970;10(3):245–256. doi:10.2118/2570-PA.

Xu S. Fortran Programs. Beijing: Tsing Hua University Express; 1995.

Yu X., Liehui Z., Yang F., Lu Y., Hu S. Study on technical policy and threshold value of multiple-zone production with one well for multi-layered gas reservoir. Nat. Gas Ind. 2005;25(7):81–83.

Zapata V.J., Lake L.W. A theoretical analysis of viscous crossflow. In: Paper SPE 10111-MS was Presented at the SPE Annual Technical Conference and Exhibition; Society of Petroleum Engineers; 1981:doi:10.2118/10111-MS.